EuDML | Browse

Let ${\bar{L}}_{i} \to X_{i}$ be a holomorphic line bundle over a compact complex manifold for $i = 1, 2$ . Let $S_{i}$ denote the associated principal circle-bundle with respect to some hermitian inner product on ${\bar{L}}_{i}$ . We construct complex structures on $S = S_{1} \times S_{2}$ which we refer to as scalar, diagonal, and linear types. While scalar type structures always exist, the more general diagonal but non-scalar type structures are constructed assuming that ${\bar{L}}_{i}$ are equivariant ${(ℂ^{*})}^{n_{i}}$ -bundles satisfying some additional conditions. The linear type complex structures...

Complexifications of Transversely Holomorphic.

A. Haefliger, D. Sundararaman (1985)

Mathematische Annalen

Convergence of Bergman geodesics on ${CP}^{1}$

Jian Song, Steve Zelditch (2007)

Annales de l’institut Fourier

The space $ℋ$ of Kähler metrics in a fixed Kähler class on a projective Kähler manifold $X$ is an infinite dimensional symmetric space whose geodesics $ω_{t}$ are solutions of a homogeneous complex Monge-Ampère equation in $A \times X$ , where $A \subset ℂ$ is an annulus. Phong-Sturm have proven that the Monge-Ampère geodesic of Kähler potentials $ϕ (t, z)$ of $ω_{t}$ may be approximated in a weak $C^{0}$ sense by geodesics $ϕ_{N} (t, z)$ of the finite dimensional symmetric space of Bergman metrics of height $N$ . In this article we prove that $ϕ_{N} (t, z) \to ϕ (t, z)$ in $C^{2} ([0, 1] \times X)$ in the case of...

Curvature properties of the Calabi-Yau moduli.

Wang, Chin-Lung (2003)

Documenta Mathematica

Deformations of Holomorphic Seifert Fiber Spaces.

Tatsuo Suwa (1979)

Inventiones mathematicae

Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über dem n-dimensionalen komplex-projektiven Raum.

Heinz Spindler (1979)

Mathematische Annalen

Currently displaying 21 – 40 of 181

Previous Page 2 Next

Displaying 21 – 40 of 181

Central extensions and reciprocity laws

Characterisation des variétés compactes simplifiables et applications aux surfaces algébriques.

Characterization of the complex projective space by holomorphic vector fields.

Classification of holomorphic vector bundles on noncommutative two-tori.

Coherent states and geometry.

Cohomologie totale et courants de Dolbeault invariants.

Cohomologietheorie mit Schranken für pseudokonvexe und pseudokonkave komplexe Räume.

Cohomology groups of sheaves SεL and splitness of Dolbeault complexes of sheaves $J_{V, ξ}$

Complex 2 Plane Bundles over CP(n).

Complex Analytic Cones.

Complex characteristic coordinates and tangential Cauchy-Riemann equations

Complex structures on product of circle bundles over complex manifolds

Complexifications of Transversely Holomorphic.

Convergence of Bergman geodesics on ${CP}^{1}$

Curvature properties of the Calabi-Yau moduli.

Deformations of Holomorphic Seifert Fiber Spaces.

Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über dem n-dimensionalen komplex-projektiven Raum.

Des fibrés uniformes non homogènes.

Differential operators and flat connections on a Riemann surface.

Dimension cohomologique locale des modules fuchsiens

Currently displaying 21 – 40 of 181